Journal of Applied Mathematics and Stochastic Analysis 
Volume 12 (1999), Issue 3, Pages 293-300
doi:10.1155/S1048953399000271

Existence, uniqueness and continuability of solutions of impulsive differential-difference equations

D. D. Bainov1 and I. M. Stamova2

 1Medical University of Sofia, P.O. Box 45, Sofia 1504, Bulgaria
2Technical University of Sliven, Sliven, Bulgaria
Received 1 May 1996; Revised 1 October 1998

Abstract

We consider an initial value problem for impulsive differential-difference equations, and obtain sufficient conditions for the existence, uniqueness, and continuability of solutions of such problem.